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One of the problems that early cartographers faced was the difficulty of accurately reproduction of the convex surface of the earth on the map plane. The XNUMXth-century Flemish cartographer Gerard Mercator (a Latinized version of his surname Kremer) solved this problem by using a projection known as a cylindrical projection.

map grid, depiction on a map of geographic meridians and parallels in one or another cartographic projection. Serves to construct a cartographic image and allows you to determine the coordinates of points from the map.

Map projections, mathematical methods of depicting the surface of the earth's ellipsoid or sphere on a plane. Map projections determine the relationship between the coordinates of points on the surface of the earth's ellipsoid and on the surface. Due to the impossibility of unfolding the surface of an ellipsoid (or ball) on a plane without folds or breaks on the map, some distortions of the geometric properties of the depicted surface are inevitable. Cartographic projections are distinguished by the nature of distortions (conformal, equal-area and arbitrary, including equidistant); in view of images of parallels and meridians (cylindrical, conical, azimuthal, polyconical, pseudoconical, pseudocylindrical, conditional). The use of certain map projections depends on the purpose of the map, the configuration and position of the mapped area.

loxodromia (loxodrome) (from the Greek loxos - oblique and dromos - run, path), a line on a sphere (or any other surface of revolution) intersecting all meridians at a constant angle K. on maps in the Mercator projection, loxodromes are depicted as straight lines. Used by navigation and air navigation.

orthodrome (from the Greek orthos - straight), the shortest line between two points on a sphere (or any other surface of revolution)

Cylindrical projections - map projections, the meridians of which are equidistant parallel lines, and the parallels are straight lines perpendicular to them. They are used to depict areas extended along the equator or any parallel. The Mercat projection is used in navigation, and the equiangular transverse cylindrical projection is used when creating topographic maps.

Conic projections - cartographic projections, the parallels of which are arcs of conical circles, and the meridians are their radii, the angles between which are proportional to the differences in longitude; Conical projection distortions do not depend on longitude. Used for maps of territories stretched along parallels (for example, the Russian Federation)

Azimuthal projections - cartographic projections, parallels of norms. the grids of which are concentric circles, and the meridians are their radii, diverging from a common center at angles equal to the differences in longitude. Normalized azimuthal projections are used for maps of polar countries, transverse and oblique azimuthal projections are used for maps of hemispheres, continents, the starry sky and other planets.

Conformal projectionsand (conformal projections) - cartographic projections that convey angles on maps without distortion, and maintain a constant scale in all directions at each point, although the scale is different in different places on the map, used for constructing large and medium-scale maps.

Equal Area Projections (equivalent) cartographic projections, which maintain a single area scale throughout the map, so that the areas of the figures on the map are proportional to the areas of the corresponding figures in nature; used for small-scale constructions.

Geographical coordinates - latitude and longitude determine the position of a point on the earth's surface. Geographic latitude is the angle between the plumb line at a given point and the plane of the equator, measured from 0 to 90 on both sides of the equator. Geographic longitude is the angle between the plane of the meridian passing through a given point and the plane of the initial, prime meridian. Longitudes from 0 to 180 east of Greenwich are called eastern, and those to the west are called western.

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